Nonetheless, it is useful to outline here some of the simple relations between the ED developed thus far, and the conventional quantum theory. These relationships have been noticed independently, and frequently, by many authors in the past few decades (see e.g., [1]}[2]}[3]}[4]}[5]}[6]}); the treatment given by T.A. Schilling and A. Ashtekar [1]}[2]} is particularly clear and thorough. Here we draw on these works to highlight how the generators of ED – the Hamiltonian functionals – and those of quantum theory – the unitary Hermitian operators – are related, as well as to compare the algebras between those generators, which in the former case are implemented using Poisson brackets, while in the latter case by commutators of operators.
